2006/01/30 by Juhi Jang, Jang, Juhi
Mathematics · Physics and Astronomy · Engineering · #Gas Dynamics and Kinetic Theory #Advanced Thermodynamics and Statistical Mechanics #Particle Dynamics in Fluid Flows
paper · pdf · doi:10.48550/arxiv.math/0601740
We study the diffusive expansion for solutions around Maxwellian equilibrium and in a periodic box to the Vlasov-Maxwell-Boltzmann system, the most fundamental model for an ensemble of charged particles. Such an expansion yields a set of dissipative new macroscopic PDE's, the incompressible Vlasov-Navier-Stokes-Fourier system and its higher order corrections for describing a charged fluid, where the self-consistent electromagnetic field is present. The uniform estimate on the remainders is established via a unified nonlinear energy method and it guarantees the global in time validity of such an expansion up to any order.